Jobs A$,$ B$,$ and C are in queue at work center $10$ before being completed on work center $20.$ The following information pertains to the jobs and the work centers: $($Job$,$ Process time $($day$)$ at WC $10,$ process time $($day$)$ at WC $20,$ Due Date$)$: $($A$,5,3,18)$; $($B$,3,6,25)$; and $($C$,9,5,20).$ For this problem, there is no move time between two centers. Today is day $1.$ If the jobs are scheduled by Johnson's rule today, the total manufacturing lead time in day $($from day $1$ when the first job starts to the day end when the last job is completed$)$ is:

Group of answer choices

$23$

none of them

$22$

$25$

$24$